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Finding the Fourth Proportional to 17,778.69, 26,675.73 and 9,456.75

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Solution

The fourth proportional to 17,778.69, 26,675.73 and 9,456.75 is: 14,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.69 : 26,675.73 = 9,456.75 : x
  2. Step 2: Convert to fraction form
    17,778.69/26,675.73 = 9,456.75/x
  3. Step 3: Cross multiply
    17,778.69x = 26,675.73 × 9,456.75
  4. Step 4: Simplify right side
    17,778.69x = 252,265,709.68
  5. Step 5: Solve for x
    x = 252,265,709.68/17,778.69
  6. Step 6: Final answer
    x = 14,189.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.